Question

Which set of ordered pairs does not represent a function? \{(5, -9), (6, -6), (-3, 8), (9, -6)\}{(5,−9),(6,−6),(−3,8),(9,−6)} \{(-6, -4), (4, -8), (-6, 9), (1, -3)\}{(−6,−4),(4,−8),(−6,9),(1,−3)} \{(1, -1), (-5, 7), (4, -9), (-9, 7)\}{(1,−1),(−5,7),(4,−9),(−9,7)} \{(8, -9), (-3, -6), (-4, 4), (1, -5)\}{(8,−9),(−3,−6),(−4,4),(1,−5)}

Answer 1

`\{(-6, -4), (4, -8), (-6, 9), (1, -3)\}`

Explanation:

Given

`\{(5, -9), (6, -6), (-3, 8), (9, -6)\}`

`\{(-6, -4), (4, -8), (-6, 9), (1, -3)\}`

`\{(1, -1), (-5, 7), (4, -9), (-9, 7)\}`

`\{(8, -9), (-3, -6), (-4, 4), (1, -5)\}`

Required

Which is not a function

An ordered pair is represented as:

`\{(x_1,y_1),(x_2,y_2),(x_3,y_3),..........,(x_n,y_n)\}`

However, for the ordered pair to be a function; all the x values must be unique (i.e. not repeated)

From options (a) to (d), option (b) has -6 repeated twice. Hence, it is not a function.